Solar PV inverter + battery system

I have 600 VA inverter and 135 Ah battery installed as back up in my house for of course fans and Lights in the event of power outage. Will it make sense to switch over to Solar Panels for charging this system instead of through Grid power. I plan to use this system daily for say 4 Hours instead of only in the case of power outages. Also what if I double the battery size and increase the No. of hours used or add say TV to the use.
I would need mainly PV Panels. I understand in case of 135 Ah the cost would be around Rs36K and in case of 2x135 Ah it would be around Rs70K. My question is does it make more sense to 'actually' use the system regularly with Solar system instead of only in case of power outages with Grid system.

Here is the calculation based on the requirements (I have just considered a basic design below, contact me if you need any more details on the design and payback calculations) Hope this helps you.

Panel sizing: A 1kWp would generate around 4 to 5Units per day. Since the requirement is around 2units a day, we can consider a 500Wp panel for our application. This is done by connecting two 250Wp panels available in the market.

Battery required: For a 1 day autonomous operation, considering 87% battery efficiency and DOD – 60%, we can go for a capacity around 280Ah for our load requirement. Therefore two 135Ah batteries can be connected in series and provided the voltage rating of the battery matches the inverter input voltage rating. (you have to check your inverter rating and design accordingly)

Changer to be made on your existing system:
Purchase 1 charge controller (current rating must be considered as per the panel Isc and series/parallel connection)
2*250Wp panels or (other lower rated panels - 100Wp*5) with mounting structures
Connect additional 135Ah battery in series
DC wiring
Existing 600VA inverter is good enough if V/I rating matches the battery bank rating.

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